| 1 | MODULE zdftke |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE zdftke *** |
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| 4 | !! Ocean physics: vertical mixing coefficient computed from the tke |
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| 5 | !! turbulent closure parameterization |
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| 6 | !!===================================================================== |
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| 7 | !! History : OPA ! 1991-03 (b. blanke) Original code |
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| 8 | !! 7.0 ! 1991-11 (G. Madec) bug fix |
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| 9 | !! 7.1 ! 1992-10 (G. Madec) new mixing length and eav |
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| 10 | !! 7.2 ! 1993-03 (M. Guyon) symetrical conditions |
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| 11 | !! 7.3 ! 1994-08 (G. Madec, M. Imbard) nn_pdl flag |
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| 12 | !! 7.5 ! 1996-01 (G. Madec) s-coordinates |
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| 13 | !! 8.0 ! 1997-07 (G. Madec) lbc |
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| 14 | !! 8.1 ! 1999-01 (E. Stretta) new option for the mixing length |
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| 15 | !! NEMO 1.0 ! 2002-06 (G. Madec) add tke_init routine |
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| 16 | !! - ! 2004-10 (C. Ethe ) 1D configuration |
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| 17 | !! 2.0 ! 2006-07 (S. Masson) distributed restart using iom |
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| 18 | !! 3.0 ! 2008-05 (C. Ethe, G.Madec) : update TKE physics: |
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| 19 | !! ! - tke penetration (wind steering) |
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| 20 | !! ! - suface condition for tke & mixing length |
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| 21 | !! ! - Langmuir cells |
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| 22 | !! - ! 2008-05 (J.-M. Molines, G. Madec) 2D form of avtb |
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| 23 | !! - ! 2008-06 (G. Madec) style + DOCTOR name for namelist parameters |
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| 24 | !! - ! 2008-12 (G. Reffray) stable discretization of the production term |
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| 25 | !! 3.2 ! 2009-06 (G. Madec, S. Masson) TKE restart compatible with key_cpl |
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| 26 | !! ! + cleaning of the parameters + bugs correction |
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| 27 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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| 28 | !! 3.6 ! 2014-11 (P. Mathiot) add ice shelf capability |
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| 29 | !! 4.0 ! 2017-04 (G. Madec) remove CPP ddm key & avm at t-point only |
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| 30 | !! - ! 2017-05 (G. Madec) add top/bottom friction as boundary condition |
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| 31 | !!---------------------------------------------------------------------- |
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| 32 | |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | !! zdf_tke : update momentum and tracer Kz from a tke scheme |
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| 35 | !! tke_tke : tke time stepping: update tke at now time step (en) |
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| 36 | !! tke_avn : compute mixing length scale and deduce avm and avt |
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| 37 | !! zdf_tke_init : initialization, namelist read, and parameters control |
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| 38 | !! tke_rst : read/write tke restart in ocean restart file |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | USE oce ! ocean: dynamics and active tracers variables |
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| 41 | USE phycst ! physical constants |
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| 42 | USE dom_oce ! domain: ocean |
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| 43 | USE domvvl ! domain: variable volume layer |
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| 44 | USE sbc_oce ! surface boundary condition: ocean |
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| 45 | USE zdfdrg ! vertical physics: top/bottom drag coef. |
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| 46 | USE zdfmxl ! vertical physics: mixed layer |
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| 47 | #if defined key_si3 |
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| 48 | USE ice, ONLY: hm_i, h_i |
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| 49 | #endif |
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| 50 | #if defined key_cice |
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| 51 | USE sbc_ice, ONLY: h_i |
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| 52 | #endif |
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| 53 | ! |
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| 54 | USE in_out_manager ! I/O manager |
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| 55 | USE iom ! I/O manager library |
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| 56 | USE lib_mpp ! MPP library |
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| 57 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 58 | USE prtctl ! Print control |
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| 59 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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| 60 | |
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| 61 | IMPLICIT NONE |
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| 62 | PRIVATE |
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| 63 | |
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| 64 | PUBLIC zdf_tke ! routine called in step module |
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| 65 | PUBLIC zdf_tke_init ! routine called in opa module |
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| 66 | PUBLIC tke_rst ! routine called in step module |
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| 67 | |
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| 68 | ! !!** Namelist namzdf_tke ** |
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| 69 | LOGICAL :: ln_mxl0 ! mixing length scale surface value as function of wind stress or not |
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| 70 | INTEGER :: nn_mxlice ! type of scaling under sea-ice (=0/1/2/3) |
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| 71 | REAL(wp) :: rn_mxlice ! ice thickness value when scaling under sea-ice |
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| 72 | INTEGER :: nn_mxl ! type of mixing length (=0/1/2/3) |
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| 73 | REAL(wp) :: rn_mxl0 ! surface min value of mixing length (kappa*z_o=0.4*0.1 m) [m] |
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| 74 | INTEGER :: nn_pdl ! Prandtl number or not (ratio avt/avm) (=0/1) |
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| 75 | REAL(wp) :: rn_ediff ! coefficient for avt: avt=rn_ediff*mxl*sqrt(e) |
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| 76 | REAL(wp) :: rn_ediss ! coefficient of the Kolmogoroff dissipation |
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| 77 | REAL(wp) :: rn_ebb ! coefficient of the surface input of tke |
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| 78 | REAL(wp) :: rn_emin ! minimum value of tke [m2/s2] |
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| 79 | REAL(wp) :: rn_emin0 ! surface minimum value of tke [m2/s2] |
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| 80 | REAL(wp) :: rn_bshear ! background shear (>0) currently a numerical threshold (do not change it) |
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| 81 | INTEGER :: nn_etau ! type of depth penetration of surface tke (=0/1/2/3) |
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| 82 | INTEGER :: nn_htau ! type of tke profile of penetration (=0/1) |
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| 83 | REAL(wp) :: rn_efr ! fraction of TKE surface value which penetrates in the ocean |
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| 84 | LOGICAL :: ln_lc ! Langmuir cells (LC) as a source term of TKE or not |
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| 85 | REAL(wp) :: rn_lc ! coef to compute vertical velocity of Langmuir cells |
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| 86 | INTEGER :: nn_eice ! attenutaion of langmuir & surface wave breaking under ice (=0/1/2/3) |
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| 87 | |
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| 88 | REAL(wp) :: ri_cri ! critic Richardson number (deduced from rn_ediff and rn_ediss values) |
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| 89 | REAL(wp) :: rmxl_min ! minimum mixing length value (deduced from rn_ediff and rn_emin values) [m] |
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| 90 | REAL(wp) :: rhftau_add = 1.e-3_wp ! add offset applied to HF part of taum (nn_etau=3) |
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| 91 | REAL(wp) :: rhftau_scl = 1.0_wp ! scale factor applied to HF part of taum (nn_etau=3) |
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| 92 | |
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| 93 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: htau ! depth of tke penetration (nn_htau) |
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| 94 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: dissl ! now mixing lenght of dissipation |
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| 95 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: apdlr ! now mixing lenght of dissipation |
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| 96 | |
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| 97 | !! * Substitutions |
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| 98 | # include "do_loop_substitute.h90" |
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| 99 | # include "domzgr_substitute.h90" |
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| 100 | !!---------------------------------------------------------------------- |
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| 101 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 102 | !! $Id$ |
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| 103 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 104 | !!---------------------------------------------------------------------- |
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| 105 | CONTAINS |
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| 106 | |
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| 107 | INTEGER FUNCTION zdf_tke_alloc() |
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| 108 | !!---------------------------------------------------------------------- |
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| 109 | !! *** FUNCTION zdf_tke_alloc *** |
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| 110 | !!---------------------------------------------------------------------- |
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| 111 | ALLOCATE( htau(jpi,jpj) , dissl(jpi,jpj,jpk) , apdlr(jpi,jpj,jpk) , STAT= zdf_tke_alloc ) |
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| 112 | ! |
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| 113 | CALL mpp_sum ( 'zdftke', zdf_tke_alloc ) |
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| 114 | IF( zdf_tke_alloc /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_alloc: failed to allocate arrays' ) |
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| 115 | ! |
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| 116 | END FUNCTION zdf_tke_alloc |
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| 117 | |
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| 118 | |
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| 119 | SUBROUTINE zdf_tke( kt, Kbb, Kmm, p_sh2, p_avm, p_avt ) |
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| 120 | !!---------------------------------------------------------------------- |
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| 121 | !! *** ROUTINE zdf_tke *** |
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| 122 | !! |
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| 123 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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| 124 | !! coefficients using a turbulent closure scheme (TKE). |
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| 125 | !! |
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| 126 | !! ** Method : The time evolution of the turbulent kinetic energy (tke) |
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| 127 | !! is computed from a prognostic equation : |
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| 128 | !! d(en)/dt = avm (d(u)/dz)**2 ! shear production |
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| 129 | !! + d( avm d(en)/dz )/dz ! diffusion of tke |
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| 130 | !! + avt N^2 ! stratif. destruc. |
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| 131 | !! - rn_ediss / emxl en**(2/3) ! Kolmogoroff dissipation |
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| 132 | !! with the boundary conditions: |
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| 133 | !! surface: en = max( rn_emin0, rn_ebb * taum ) |
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| 134 | !! bottom : en = rn_emin |
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| 135 | !! The associated critical Richardson number is: ri_cri = 2/(2+rn_ediss/rn_ediff) |
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| 136 | !! |
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| 137 | !! The now Turbulent kinetic energy is computed using the following |
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| 138 | !! time stepping: implicit for vertical diffusion term, linearized semi |
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| 139 | !! implicit for kolmogoroff dissipation term, and explicit forward for |
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| 140 | !! both buoyancy and shear production terms. Therefore a tridiagonal |
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| 141 | !! linear system is solved. Note that buoyancy and shear terms are |
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| 142 | !! discretized in a energy conserving form (Bruchard 2002). |
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| 143 | !! |
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| 144 | !! The dissipative and mixing length scale are computed from en and |
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| 145 | !! the stratification (see tke_avn) |
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| 146 | !! |
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| 147 | !! The now vertical eddy vicosity and diffusivity coefficients are |
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| 148 | !! given by: |
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| 149 | !! avm = max( avtb, rn_ediff * zmxlm * en^1/2 ) |
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| 150 | !! avt = max( avmb, pdl * avm ) |
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| 151 | !! eav = max( avmb, avm ) |
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| 152 | !! where pdl, the inverse of the Prandtl number is 1 if nn_pdl=0 and |
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| 153 | !! given by an empirical funtion of the localRichardson number if nn_pdl=1 |
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| 154 | !! |
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| 155 | !! ** Action : compute en (now turbulent kinetic energy) |
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| 156 | !! update avt, avm (before vertical eddy coef.) |
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| 157 | !! |
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| 158 | !! References : Gaspar et al., JGR, 1990, |
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| 159 | !! Blanke and Delecluse, JPO, 1991 |
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| 160 | !! Mellor and Blumberg, JPO 2004 |
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| 161 | !! Axell, JGR, 2002 |
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| 162 | !! Bruchard OM 2002 |
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| 163 | !!---------------------------------------------------------------------- |
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| 164 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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| 165 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
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| 166 | REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: p_sh2 ! shear production term |
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| 167 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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| 168 | !!---------------------------------------------------------------------- |
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| 169 | ! |
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| 170 | CALL tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt ) ! now tke (en) |
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| 171 | ! |
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| 172 | CALL tke_avn( Kbb, Kmm, p_avm, p_avt ) ! now avt, avm, dissl |
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| 173 | ! |
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| 174 | END SUBROUTINE zdf_tke |
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| 175 | |
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| 176 | |
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| 177 | SUBROUTINE tke_tke( Kbb, Kmm, p_sh2, p_avm, p_avt ) |
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| 178 | !!---------------------------------------------------------------------- |
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| 179 | !! *** ROUTINE tke_tke *** |
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| 180 | !! |
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| 181 | !! ** Purpose : Compute the now Turbulente Kinetic Energy (TKE) |
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| 182 | !! |
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| 183 | !! ** Method : - TKE surface boundary condition |
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| 184 | !! - source term due to Langmuir cells (Axell JGR 2002) (ln_lc=T) |
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| 185 | !! - source term due to shear (= Kz dz[Ub] * dz[Un] ) |
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| 186 | !! - Now TKE : resolution of the TKE equation by inverting |
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| 187 | !! a tridiagonal linear system by a "methode de chasse" |
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| 188 | !! - increase TKE due to surface and internal wave breaking |
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| 189 | !! NB: when sea-ice is present, both LC parameterization |
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| 190 | !! and TKE penetration are turned off when the ice fraction |
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| 191 | !! is smaller than 0.25 |
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| 192 | !! |
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| 193 | !! ** Action : - en : now turbulent kinetic energy) |
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| 194 | !! --------------------------------------------------------------------- |
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| 195 | USE zdf_oce , ONLY : en ! ocean vertical physics |
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| 196 | !! |
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| 197 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
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| 198 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_sh2 ! shear production term |
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| 199 | REAL(wp), DIMENSION(:,:,:) , INTENT(in ) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points) |
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| 200 | ! |
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| 201 | INTEGER :: ji, jj, jk ! dummy loop arguments |
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| 202 | REAL(wp) :: zetop, zebot, zmsku, zmskv ! local scalars |
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| 203 | REAL(wp) :: zrhoa = 1.22 ! Air density kg/m3 |
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| 204 | REAL(wp) :: zcdrag = 1.5e-3 ! drag coefficient |
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| 205 | REAL(wp) :: zbbrau, zbbirau, zri ! local scalars |
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| 206 | REAL(wp) :: zfact1, zfact2, zfact3 ! - - |
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| 207 | REAL(wp) :: ztx2 , zty2 , zcof ! - - |
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| 208 | REAL(wp) :: ztau , zdif ! - - |
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| 209 | REAL(wp) :: zus , zwlc , zind ! - - |
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| 210 | REAL(wp) :: zzd_up, zzd_lw ! - - |
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| 211 | INTEGER , DIMENSION(jpi,jpj) :: imlc |
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| 212 | REAL(wp), DIMENSION(jpi,jpj) :: zice_fra, zhlc, zus3 |
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| 213 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zpelc, zdiag, zd_up, zd_lw |
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| 214 | !!-------------------------------------------------------------------- |
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| 215 | ! |
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| 216 | zbbrau = rn_ebb / rho0 ! Local constant initialisation |
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| 217 | zbbirau = 3.75_wp / rho0 |
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| 218 | zfact1 = -.5_wp * rn_Dt |
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| 219 | zfact2 = 1.5_wp * rn_Dt * rn_ediss |
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| 220 | zfact3 = 0.5_wp * rn_ediss |
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| 221 | ! |
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| 222 | ! ice fraction considered for attenuation of langmuir & wave breaking |
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| 223 | SELECT CASE ( nn_eice ) |
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| 224 | CASE( 0 ) ; zice_fra(:,:) = 0._wp |
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| 225 | CASE( 1 ) ; zice_fra(:,:) = TANH( fr_i(:,:) * 10._wp ) |
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| 226 | CASE( 2 ) ; zice_fra(:,:) = fr_i(:,:) |
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| 227 | CASE( 3 ) ; zice_fra(:,:) = MIN( 4._wp * fr_i(:,:) , 1._wp ) |
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| 228 | END SELECT |
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| 229 | ! |
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| 230 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 231 | ! ! Surface/top/bottom boundary condition on tke |
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| 232 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 233 | ! |
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| 234 | DO_2D( 0, 0, 0, 0 ) ! en(1) = rn_ebb taum / rau0 (min value rn_emin0) |
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| 235 | !! clem: this should be the right formulation but it makes the model unstable unless drags are calculated implicitly |
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| 236 | !! one way around would be to increase zbbirau |
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| 237 | !! en(ji,jj,1) = MAX( rn_emin0, ( ( 1._wp - fr_i(ji,jj) ) * zbbrau + & |
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| 238 | !! & fr_i(ji,jj) * zbbirau ) * taum(ji,jj) ) * tmask(ji,jj,1) |
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| 239 | en(ji,jj,1) = MAX( rn_emin0, zbbrau * taum(ji,jj) ) * tmask(ji,jj,1) |
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| 240 | END_2D |
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| 241 | ! |
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| 242 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 243 | ! ! Bottom boundary condition on tke |
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| 244 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 245 | ! |
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| 246 | ! en(bot) = (ebb0/rho0)*0.5*sqrt(u_botfr^2+v_botfr^2) (min value rn_emin) |
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| 247 | ! where ebb0 does not includes surface wave enhancement (i.e. ebb0=3.75) |
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| 248 | ! Note that stress averaged is done using an wet-only calculation of u and v at t-point like in zdfsh2 |
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| 249 | ! |
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| 250 | IF( .NOT.ln_drg_OFF ) THEN !== friction used as top/bottom boundary condition on TKE |
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| 251 | ! |
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| 252 | DO_2D( 0, 0, 0, 0 ) ! bottom friction |
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| 253 | zmsku = ( 2. - umask(ji-1,jj,mbkt(ji,jj)) * umask(ji,jj,mbkt(ji,jj)) ) |
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| 254 | zmskv = ( 2. - vmask(ji,jj-1,mbkt(ji,jj)) * vmask(ji,jj,mbkt(ji,jj)) ) |
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| 255 | ! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0) |
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| 256 | zebot = - 0.001875_wp * rCdU_bot(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mbkt(ji,jj),Kbb)+uu(ji-1,jj,mbkt(ji,jj),Kbb) ) )**2 & |
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| 257 | & + ( zmskv*( vv(ji,jj,mbkt(ji,jj),Kbb)+vv(ji,jj-1,mbkt(ji,jj),Kbb) ) )**2 ) |
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| 258 | en(ji,jj,mbkt(ji,jj)+1) = MAX( zebot, rn_emin ) * ssmask(ji,jj) |
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| 259 | END_2D |
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| 260 | IF( ln_isfcav ) THEN |
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| 261 | DO_2D( 0, 0, 0, 0 ) ! top friction |
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| 262 | zmsku = ( 2. - umask(ji-1,jj,mikt(ji,jj)) * umask(ji,jj,mikt(ji,jj)) ) |
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| 263 | zmskv = ( 2. - vmask(ji,jj-1,mikt(ji,jj)) * vmask(ji,jj,mikt(ji,jj)) ) |
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| 264 | ! ! where 0.001875 = (rn_ebb0/rho0) * 0.5 = 3.75*0.5/1000. (CAUTION CdU<0) |
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| 265 | zetop = - 0.001875_wp * rCdU_top(ji,jj) * SQRT( ( zmsku*( uu(ji,jj,mikt(ji,jj),Kbb)+uu(ji-1,jj,mikt(ji,jj),Kbb) ) )**2 & |
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| 266 | & + ( zmskv*( vv(ji,jj,mikt(ji,jj),Kbb)+vv(ji,jj-1,mikt(ji,jj),Kbb) ) )**2 ) |
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| 267 | ! (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj) = 1 where ice shelves are present |
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| 268 | en(ji,jj,mikt(ji,jj)) = en(ji,jj,1) * tmask(ji,jj,1) & |
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| 269 | & + MAX( zetop, rn_emin ) * (1._wp - tmask(ji,jj,1)) * ssmask(ji,jj) |
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| 270 | END_2D |
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| 271 | ENDIF |
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| 272 | ! |
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| 273 | ENDIF |
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| 274 | ! |
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| 275 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
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| 276 | IF( ln_lc ) THEN ! Langmuir circulation source term added to tke ! (Axell JGR 2002) |
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| 277 | ! !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
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| 278 | ! |
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| 279 | ! !* total energy produce by LC : cumulative sum over jk |
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| 280 | zpelc(:,:,1) = MAX( rn2b(:,:,1), 0._wp ) * gdepw(:,:,1,Kmm) * e3w(:,:,1,Kmm) |
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| 281 | DO jk = 2, jpk |
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| 282 | zpelc(:,:,jk) = zpelc(:,:,jk-1) + & |
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| 283 | & MAX( rn2b(:,:,jk), 0._wp ) * gdepw(:,:,jk,Kmm) * e3w(:,:,jk,Kmm) |
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| 284 | END DO |
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| 285 | ! !* finite Langmuir Circulation depth |
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| 286 | zcof = 0.5 * 0.016 * 0.016 / ( zrhoa * zcdrag ) |
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| 287 | imlc(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point (=2 over land) |
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| 288 | DO_3DS( 1, 1, 1, 1, jpkm1, 2, -1 ) ! Last w-level at which zpelc>=0.5*us*us |
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| 289 | zus = zcof * taum(ji,jj) ! with us=0.016*wind(starting from jpk-1) |
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| 290 | IF( zpelc(ji,jj,jk) > zus ) imlc(ji,jj) = jk |
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| 291 | END_3D |
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| 292 | ! ! finite LC depth |
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| 293 | DO_2D( 1, 1, 1, 1 ) |
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| 294 | zhlc(ji,jj) = gdepw(ji,jj,imlc(ji,jj),Kmm) |
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| 295 | END_2D |
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| 296 | zcof = 0.016 / SQRT( zrhoa * zcdrag ) |
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| 297 | DO_2D( 0, 0, 0, 0 ) |
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| 298 | zus = zcof * SQRT( taum(ji,jj) ) ! Stokes drift |
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| 299 | zus3(ji,jj) = MAX( 0._wp, 1._wp - zice_fra(ji,jj) ) * zus * zus * zus * tmask(ji,jj,1) ! zus > 0. ok |
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| 300 | END_2D |
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| 301 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) !* TKE Langmuir circulation source term added to en |
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| 302 | IF ( zus3(ji,jj) /= 0._wp ) THEN |
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| 303 | IF ( gdepw(ji,jj,jk,Kmm) - zhlc(ji,jj) < 0 .AND. wmask(ji,jj,jk) /= 0. ) THEN |
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| 304 | ! ! vertical velocity due to LC |
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| 305 | zwlc = rn_lc * SIN( rpi * gdepw(ji,jj,jk,Kmm) / zhlc(ji,jj) ) |
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| 306 | ! ! TKE Langmuir circulation source term |
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| 307 | en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * zus3(ji,jj) * ( zwlc * zwlc * zwlc ) / zhlc(ji,jj) |
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| 308 | ENDIF |
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| 309 | ENDIF |
|---|
| 310 | END_3D |
|---|
| 311 | ! |
|---|
| 312 | ENDIF |
|---|
| 313 | ! |
|---|
| 314 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 315 | ! ! Now Turbulent kinetic energy (output in en) |
|---|
| 316 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 317 | ! ! Resolution of a tridiagonal linear system by a "methode de chasse" |
|---|
| 318 | ! ! computation from level 2 to jpkm1 (e(1) already computed and e(jpk)=0 ). |
|---|
| 319 | ! ! zdiag : diagonal zd_up : upper diagonal zd_lw : lower diagonal |
|---|
| 320 | ! |
|---|
| 321 | IF( nn_pdl == 1 ) THEN !* Prandtl number = F( Ri ) |
|---|
| 322 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 323 | ! ! local Richardson number |
|---|
| 324 | IF (rn2b(ji,jj,jk) <= 0.0_wp) then |
|---|
| 325 | zri = 0.0_wp |
|---|
| 326 | ELSE |
|---|
| 327 | zri = rn2b(ji,jj,jk) * p_avm(ji,jj,jk) / ( p_sh2(ji,jj,jk) + rn_bshear ) |
|---|
| 328 | ENDIF |
|---|
| 329 | ! ! inverse of Prandtl number |
|---|
| 330 | apdlr(ji,jj,jk) = MAX( 0.1_wp, ri_cri / MAX( ri_cri , zri ) ) |
|---|
| 331 | END_3D |
|---|
| 332 | ENDIF |
|---|
| 333 | ! |
|---|
| 334 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) !* Matrix and right hand side in en |
|---|
| 335 | zcof = zfact1 * tmask(ji,jj,jk) |
|---|
| 336 | ! ! A minimum of 2.e-5 m2/s is imposed on TKE vertical |
|---|
| 337 | ! ! eddy coefficient (ensure numerical stability) |
|---|
| 338 | zzd_up = zcof * MAX( p_avm(ji,jj,jk+1) + p_avm(ji,jj,jk ) , 2.e-5_wp ) & ! upper diagonal |
|---|
| 339 | & / ( e3t(ji,jj,jk ,Kmm) * e3w(ji,jj,jk ,Kmm) ) |
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| 340 | zzd_lw = zcof * MAX( p_avm(ji,jj,jk ) + p_avm(ji,jj,jk-1) , 2.e-5_wp ) & ! lower diagonal |
|---|
| 341 | & / ( e3t(ji,jj,jk-1,Kmm) * e3w(ji,jj,jk ,Kmm) ) |
|---|
| 342 | ! |
|---|
| 343 | zd_up(ji,jj,jk) = zzd_up ! Matrix (zdiag, zd_up, zd_lw) |
|---|
| 344 | zd_lw(ji,jj,jk) = zzd_lw |
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| 345 | zdiag(ji,jj,jk) = 1._wp - zzd_lw - zzd_up + zfact2 * dissl(ji,jj,jk) * wmask(ji,jj,jk) |
|---|
| 346 | ! |
|---|
| 347 | ! ! right hand side in en |
|---|
| 348 | en(ji,jj,jk) = en(ji,jj,jk) + rn_Dt * ( p_sh2(ji,jj,jk) & ! shear |
|---|
| 349 | & - p_avt(ji,jj,jk) * rn2(ji,jj,jk) & ! stratification |
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| 350 | & + zfact3 * dissl(ji,jj,jk) * en(ji,jj,jk) & ! dissipation |
|---|
| 351 | & ) * wmask(ji,jj,jk) |
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| 352 | END_3D |
|---|
| 353 | ! !* Matrix inversion from level 2 (tke prescribed at level 1) |
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| 354 | DO_3D( 0, 0, 0, 0, 3, jpkm1 ) ! First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 |
|---|
| 355 | zdiag(ji,jj,jk) = zdiag(ji,jj,jk) - zd_lw(ji,jj,jk) * zd_up(ji,jj,jk-1) / zdiag(ji,jj,jk-1) |
|---|
| 356 | END_3D |
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| 357 | DO_2D( 0, 0, 0, 0 ) ! Second recurrence : Lk = RHSk - Lk / Dk-1 * Lk-1 |
|---|
| 358 | zd_lw(ji,jj,2) = en(ji,jj,2) - zd_lw(ji,jj,2) * en(ji,jj,1) ! Surface boudary conditions on tke |
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| 359 | END_2D |
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| 360 | DO_3D( 0, 0, 0, 0, 3, jpkm1 ) |
|---|
| 361 | zd_lw(ji,jj,jk) = en(ji,jj,jk) - zd_lw(ji,jj,jk) / zdiag(ji,jj,jk-1) *zd_lw(ji,jj,jk-1) |
|---|
| 362 | END_3D |
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| 363 | DO_2D( 0, 0, 0, 0 ) ! thrid recurrence : Ek = ( Lk - Uk * Ek+1 ) / Dk |
|---|
| 364 | en(ji,jj,jpkm1) = zd_lw(ji,jj,jpkm1) / zdiag(ji,jj,jpkm1) |
|---|
| 365 | END_2D |
|---|
| 366 | DO_3DS( 0, 0, 0, 0, jpk-2, 2, -1 ) |
|---|
| 367 | en(ji,jj,jk) = ( zd_lw(ji,jj,jk) - zd_up(ji,jj,jk) * en(ji,jj,jk+1) ) / zdiag(ji,jj,jk) |
|---|
| 368 | END_3D |
|---|
| 369 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! set the minimum value of tke |
|---|
| 370 | en(ji,jj,jk) = MAX( en(ji,jj,jk), rn_emin ) * wmask(ji,jj,jk) |
|---|
| 371 | END_3D |
|---|
| 372 | ! |
|---|
| 373 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 374 | ! ! TKE due to surface and internal wave breaking |
|---|
| 375 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 376 | !!gm BUG : in the exp remove the depth of ssh !!! |
|---|
| 377 | !!gm i.e. use gde3w in argument (gdepw(:,:,:,Kmm)) |
|---|
| 378 | ! |
|---|
| 379 | ! penetration is partly switched off below sea-ice if nn_eice/=0 |
|---|
| 380 | ! |
|---|
| 381 | IF( nn_etau == 1 ) THEN !* penetration below the mixed layer (rn_efr fraction) |
|---|
| 382 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 383 | en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) & |
|---|
| 384 | & * MAX( 0._wp, 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 385 | END_3D |
|---|
| 386 | ELSEIF( nn_etau == 2 ) THEN !* act only at the base of the mixed layer (jk=nmln) (rn_efr fraction) |
|---|
| 387 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 388 | jk = nmln(ji,jj) |
|---|
| 389 | en(ji,jj,jk) = en(ji,jj,jk) + rn_efr * en(ji,jj,1) * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) & |
|---|
| 390 | & * MAX( 0._wp, 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 391 | END_2D |
|---|
| 392 | ELSEIF( nn_etau == 3 ) THEN !* penetration belox the mixed layer (HF variability) |
|---|
| 393 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 394 | ztx2 = utau(ji-1,jj ) + utau(ji,jj) |
|---|
| 395 | zty2 = vtau(ji ,jj-1) + vtau(ji,jj) |
|---|
| 396 | ztau = 0.5_wp * SQRT( ztx2 * ztx2 + zty2 * zty2 ) * tmask(ji,jj,1) ! module of the mean stress |
|---|
| 397 | zdif = taum(ji,jj) - ztau ! mean of modulus - modulus of the mean |
|---|
| 398 | zdif = rhftau_scl * MAX( 0._wp, zdif + rhftau_add ) ! apply some modifications... |
|---|
| 399 | en(ji,jj,jk) = en(ji,jj,jk) + zbbrau * zdif * EXP( -gdepw(ji,jj,jk,Kmm) / htau(ji,jj) ) & |
|---|
| 400 | & * MAX( 0._wp, 1._wp - zice_fra(ji,jj) ) * wmask(ji,jj,jk) * tmask(ji,jj,1) |
|---|
| 401 | END_3D |
|---|
| 402 | ENDIF |
|---|
| 403 | ! |
|---|
| 404 | END SUBROUTINE tke_tke |
|---|
| 405 | |
|---|
| 406 | |
|---|
| 407 | SUBROUTINE tke_avn( Kbb, Kmm, p_avm, p_avt ) |
|---|
| 408 | !!---------------------------------------------------------------------- |
|---|
| 409 | !! *** ROUTINE tke_avn *** |
|---|
| 410 | !! |
|---|
| 411 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
|---|
| 412 | !! |
|---|
| 413 | !! ** Method : At this stage, en, the now TKE, is known (computed in |
|---|
| 414 | !! the tke_tke routine). First, the now mixing lenth is |
|---|
| 415 | !! computed from en and the strafification (N^2), then the mixings |
|---|
| 416 | !! coefficients are computed. |
|---|
| 417 | !! - Mixing length : a first evaluation of the mixing lengh |
|---|
| 418 | !! scales is: |
|---|
| 419 | !! mxl = sqrt(2*en) / N |
|---|
| 420 | !! where N is the brunt-vaisala frequency, with a minimum value set |
|---|
| 421 | !! to rmxl_min (rn_mxl0) in the interior (surface) ocean. |
|---|
| 422 | !! The mixing and dissipative length scale are bound as follow : |
|---|
| 423 | !! nn_mxl=0 : mxl bounded by the distance to surface and bottom. |
|---|
| 424 | !! zmxld = zmxlm = mxl |
|---|
| 425 | !! nn_mxl=1 : mxl bounded by the e3w and zmxld = zmxlm = mxl |
|---|
| 426 | !! nn_mxl=2 : mxl bounded such that the vertical derivative of mxl is |
|---|
| 427 | !! less than 1 (|d/dz(mxl)|<1) and zmxld = zmxlm = mxl |
|---|
| 428 | !! nn_mxl=3 : mxl is bounded from the surface to the bottom usings |
|---|
| 429 | !! |d/dz(xml)|<1 to obtain lup, and from the bottom to |
|---|
| 430 | !! the surface to obtain ldown. the resulting length |
|---|
| 431 | !! scales are: |
|---|
| 432 | !! zmxld = sqrt( lup * ldown ) |
|---|
| 433 | !! zmxlm = min ( lup , ldown ) |
|---|
| 434 | !! - Vertical eddy viscosity and diffusivity: |
|---|
| 435 | !! avm = max( avtb, rn_ediff * zmxlm * en^1/2 ) |
|---|
| 436 | !! avt = max( avmb, pdlr * avm ) |
|---|
| 437 | !! with pdlr=1 if nn_pdl=0, pdlr=1/pdl=F(Ri) otherwise. |
|---|
| 438 | !! |
|---|
| 439 | !! ** Action : - avt, avm : now vertical eddy diffusivity and viscosity (w-point) |
|---|
| 440 | !!---------------------------------------------------------------------- |
|---|
| 441 | USE zdf_oce , ONLY : en, avtb, avmb, avtb_2d ! ocean vertical physics |
|---|
| 442 | !! |
|---|
| 443 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
|---|
| 444 | REAL(wp), DIMENSION(:,:,:), INTENT( out) :: p_avm, p_avt ! vertical eddy viscosity & diffusivity (w-points) |
|---|
| 445 | ! |
|---|
| 446 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 447 | REAL(wp) :: zrn2, zraug, zcoef, zav ! local scalars |
|---|
| 448 | REAL(wp) :: zdku, zdkv, zsqen ! - - |
|---|
| 449 | REAL(wp) :: zemxl, zemlm, zemlp, zmaxice ! - - |
|---|
| 450 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zmxlm, zmxld ! 3D workspace |
|---|
| 451 | !!-------------------------------------------------------------------- |
|---|
| 452 | ! |
|---|
| 453 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 454 | ! ! Mixing length |
|---|
| 455 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 456 | ! |
|---|
| 457 | ! !* Buoyancy length scale: l=sqrt(2*e/n**2) |
|---|
| 458 | ! |
|---|
| 459 | ! initialisation of interior minimum value (avoid a 2d loop with mikt) |
|---|
| 460 | zmxlm(:,:,:) = rmxl_min |
|---|
| 461 | zmxld(:,:,:) = rmxl_min |
|---|
| 462 | ! |
|---|
| 463 | IF( ln_mxl0 ) THEN ! surface mixing length = F(stress) : l=vkarmn*2.e5*taum/(rho0*g) |
|---|
| 464 | ! |
|---|
| 465 | zraug = vkarmn * 2.e5_wp / ( rho0 * grav ) |
|---|
| 466 | #if ! defined key_si3 && ! defined key_cice |
|---|
| 467 | DO_2D( 0, 0, 0, 0 ) ! No sea-ice |
|---|
| 468 | zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1) |
|---|
| 469 | END_2D |
|---|
| 470 | #else |
|---|
| 471 | SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice |
|---|
| 472 | ! |
|---|
| 473 | CASE( 0 ) ! No scaling under sea-ice |
|---|
| 474 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 475 | zmxlm(ji,jj,1) = zraug * taum(ji,jj) * tmask(ji,jj,1) |
|---|
| 476 | END_2D |
|---|
| 477 | ! |
|---|
| 478 | CASE( 1 ) ! scaling with constant sea-ice thickness |
|---|
| 479 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 480 | zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + & |
|---|
| 481 | & fr_i(ji,jj) * rn_mxlice ) * tmask(ji,jj,1) |
|---|
| 482 | END_2D |
|---|
| 483 | ! |
|---|
| 484 | CASE( 2 ) ! scaling with mean sea-ice thickness |
|---|
| 485 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 486 | #if defined key_si3 |
|---|
| 487 | zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + & |
|---|
| 488 | & fr_i(ji,jj) * hm_i(ji,jj) * 2._wp ) * tmask(ji,jj,1) |
|---|
| 489 | #elif defined key_cice |
|---|
| 490 | zmaxice = MAXVAL( h_i(ji,jj,:) ) |
|---|
| 491 | zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + & |
|---|
| 492 | & fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1) |
|---|
| 493 | #endif |
|---|
| 494 | END_2D |
|---|
| 495 | ! |
|---|
| 496 | CASE( 3 ) ! scaling with max sea-ice thickness |
|---|
| 497 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 498 | zmaxice = MAXVAL( h_i(ji,jj,:) ) |
|---|
| 499 | zmxlm(ji,jj,1) = ( ( 1._wp - fr_i(ji,jj) ) * zraug * taum(ji,jj) + & |
|---|
| 500 | & fr_i(ji,jj) * zmaxice ) * tmask(ji,jj,1) |
|---|
| 501 | END_2D |
|---|
| 502 | ! |
|---|
| 503 | END SELECT |
|---|
| 504 | #endif |
|---|
| 505 | ! |
|---|
| 506 | DO_2D( 0, 0, 0, 0 ) |
|---|
| 507 | zmxlm(ji,jj,1) = MAX( rn_mxl0, zmxlm(ji,jj,1) ) |
|---|
| 508 | END_2D |
|---|
| 509 | ! |
|---|
| 510 | ELSE |
|---|
| 511 | zmxlm(:,:,1) = rn_mxl0 |
|---|
| 512 | ENDIF |
|---|
| 513 | |
|---|
| 514 | ! |
|---|
| 515 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 516 | zrn2 = MAX( rn2(ji,jj,jk), rsmall ) |
|---|
| 517 | zmxlm(ji,jj,jk) = MAX( rmxl_min, SQRT( 2._wp * en(ji,jj,jk) / zrn2 ) ) |
|---|
| 518 | END_3D |
|---|
| 519 | ! |
|---|
| 520 | ! !* Physical limits for the mixing length |
|---|
| 521 | ! |
|---|
| 522 | zmxld(:,:, 1 ) = zmxlm(:,:,1) ! surface set to the minimum value |
|---|
| 523 | zmxld(:,:,jpk) = rmxl_min ! last level set to the minimum value |
|---|
| 524 | ! |
|---|
| 525 | SELECT CASE ( nn_mxl ) |
|---|
| 526 | ! |
|---|
| 527 | !!gm Not sure of that coding for ISF.... |
|---|
| 528 | ! where wmask = 0 set zmxlm == e3w(:,:,:,Kmm) |
|---|
| 529 | CASE ( 0 ) ! bounded by the distance to surface and bottom |
|---|
| 530 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 531 | zemxl = MIN( gdepw(ji,jj,jk,Kmm) - gdepw(ji,jj,mikt(ji,jj),Kmm), zmxlm(ji,jj,jk), & |
|---|
| 532 | & gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - gdepw(ji,jj,jk,Kmm) ) |
|---|
| 533 | ! wmask prevent zmxlm = 0 if jk = mikt(ji,jj) |
|---|
| 534 | zmxlm(ji,jj,jk) = zemxl * wmask(ji,jj,jk) & |
|---|
| 535 | & + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk)) |
|---|
| 536 | zmxld(ji,jj,jk) = zemxl * wmask(ji,jj,jk) & |
|---|
| 537 | & + MIN( zmxlm(ji,jj,jk) , e3w(ji,jj,jk,Kmm) ) * (1 - wmask(ji,jj,jk)) |
|---|
| 538 | END_3D |
|---|
| 539 | ! |
|---|
| 540 | CASE ( 1 ) ! bounded by the vertical scale factor |
|---|
| 541 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 542 | zemxl = MIN( e3w(ji,jj,jk,Kmm), zmxlm(ji,jj,jk) ) |
|---|
| 543 | zmxlm(ji,jj,jk) = zemxl |
|---|
| 544 | zmxld(ji,jj,jk) = zemxl |
|---|
| 545 | END_3D |
|---|
| 546 | ! |
|---|
| 547 | CASE ( 2 ) ! |dk[xml]| bounded by e3t : |
|---|
| 548 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! from the surface to the bottom : |
|---|
| 549 | zmxlm(ji,jj,jk) = & |
|---|
| 550 | & MIN( zmxlm(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) ) |
|---|
| 551 | END_3D |
|---|
| 552 | DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 ) ! from the bottom to the surface : |
|---|
| 553 | zemxl = MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) ) |
|---|
| 554 | zmxlm(ji,jj,jk) = zemxl |
|---|
| 555 | zmxld(ji,jj,jk) = zemxl |
|---|
| 556 | END_3D |
|---|
| 557 | ! |
|---|
| 558 | CASE ( 3 ) ! lup and ldown, |dk[xml]| bounded by e3t : |
|---|
| 559 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) ! from the surface to the bottom : lup |
|---|
| 560 | zmxld(ji,jj,jk) = & |
|---|
| 561 | & MIN( zmxld(ji,jj,jk-1) + e3t(ji,jj,jk-1,Kmm), zmxlm(ji,jj,jk) ) |
|---|
| 562 | END_3D |
|---|
| 563 | DO_3DS( 0, 0, 0, 0, jpkm1, 2, -1 ) ! from the bottom to the surface : ldown |
|---|
| 564 | zmxlm(ji,jj,jk) = & |
|---|
| 565 | & MIN( zmxlm(ji,jj,jk+1) + e3t(ji,jj,jk+1,Kmm), zmxlm(ji,jj,jk) ) |
|---|
| 566 | END_3D |
|---|
| 567 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 568 | zemlm = MIN ( zmxld(ji,jj,jk), zmxlm(ji,jj,jk) ) |
|---|
| 569 | zemlp = SQRT( zmxld(ji,jj,jk) * zmxlm(ji,jj,jk) ) |
|---|
| 570 | zmxlm(ji,jj,jk) = zemlm |
|---|
| 571 | zmxld(ji,jj,jk) = zemlp |
|---|
| 572 | END_3D |
|---|
| 573 | ! |
|---|
| 574 | END SELECT |
|---|
| 575 | ! |
|---|
| 576 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 577 | ! ! Vertical eddy viscosity and diffusivity (avm and avt) |
|---|
| 578 | ! !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
|---|
| 579 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) !* vertical eddy viscosity & diffivity at w-points |
|---|
| 580 | zsqen = SQRT( en(ji,jj,jk) ) |
|---|
| 581 | zav = rn_ediff * zmxlm(ji,jj,jk) * zsqen |
|---|
| 582 | p_avm(ji,jj,jk) = MAX( zav, avmb(jk) ) * wmask(ji,jj,jk) |
|---|
| 583 | p_avt(ji,jj,jk) = MAX( zav, avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk) |
|---|
| 584 | dissl(ji,jj,jk) = zsqen / zmxld(ji,jj,jk) |
|---|
| 585 | END_3D |
|---|
| 586 | ! |
|---|
| 587 | ! |
|---|
| 588 | IF( nn_pdl == 1 ) THEN !* Prandtl number case: update avt |
|---|
| 589 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
|---|
| 590 | p_avt(ji,jj,jk) = MAX( apdlr(ji,jj,jk) * p_avt(ji,jj,jk), avtb_2d(ji,jj) * avtb(jk) ) * wmask(ji,jj,jk) |
|---|
| 591 | END_3D |
|---|
| 592 | ENDIF |
|---|
| 593 | ! |
|---|
| 594 | IF(sn_cfctl%l_prtctl) THEN |
|---|
| 595 | CALL prt_ctl( tab3d_1=en , clinfo1=' tke - e: ', tab3d_2=p_avt, clinfo2=' t: ', kdim=jpk) |
|---|
| 596 | CALL prt_ctl( tab3d_1=p_avm, clinfo1=' tke - m: ', kdim=jpk ) |
|---|
| 597 | ENDIF |
|---|
| 598 | ! |
|---|
| 599 | END SUBROUTINE tke_avn |
|---|
| 600 | |
|---|
| 601 | |
|---|
| 602 | SUBROUTINE zdf_tke_init( Kmm ) |
|---|
| 603 | !!---------------------------------------------------------------------- |
|---|
| 604 | !! *** ROUTINE zdf_tke_init *** |
|---|
| 605 | !! |
|---|
| 606 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
|---|
| 607 | !! viscosity when using a tke turbulent closure scheme |
|---|
| 608 | !! |
|---|
| 609 | !! ** Method : Read the namzdf_tke namelist and check the parameters |
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| 610 | !! called at the first timestep (nit000) |
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| 611 | !! |
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| 612 | !! ** input : Namlist namzdf_tke |
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| 613 | !! |
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| 614 | !! ** Action : Increase by 1 the nstop flag is setting problem encounter |
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| 615 | !!---------------------------------------------------------------------- |
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| 616 | USE zdf_oce , ONLY : ln_zdfiwm ! Internal Wave Mixing flag |
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| 617 | !! |
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| 618 | INTEGER, INTENT(in) :: Kmm ! time level index |
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| 619 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 620 | INTEGER :: ios |
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| 621 | !! |
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| 622 | NAMELIST/namzdf_tke/ rn_ediff, rn_ediss , rn_ebb , rn_emin , & |
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| 623 | & rn_emin0, rn_bshear, nn_mxl , ln_mxl0 , & |
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| 624 | & rn_mxl0 , nn_mxlice, rn_mxlice, & |
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| 625 | & nn_pdl , ln_lc , rn_lc , & |
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| 626 | & nn_etau , nn_htau , rn_efr , nn_eice |
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| 627 | !!---------------------------------------------------------------------- |
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| 628 | ! |
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| 629 | READ ( numnam_ref, namzdf_tke, IOSTAT = ios, ERR = 901) |
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| 630 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_tke in reference namelist' ) |
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| 631 | |
|---|
| 632 | READ ( numnam_cfg, namzdf_tke, IOSTAT = ios, ERR = 902 ) |
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| 633 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_tke in configuration namelist' ) |
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| 634 | IF(lwm) WRITE ( numond, namzdf_tke ) |
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| 635 | ! |
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| 636 | ri_cri = 2._wp / ( 2._wp + rn_ediss / rn_ediff ) ! resulting critical Richardson number |
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| 637 | ! |
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| 638 | IF(lwp) THEN !* Control print |
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| 639 | WRITE(numout,*) |
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| 640 | WRITE(numout,*) 'zdf_tke_init : tke turbulent closure scheme - initialisation' |
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| 641 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 642 | WRITE(numout,*) ' Namelist namzdf_tke : set tke mixing parameters' |
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| 643 | WRITE(numout,*) ' coef. to compute avt rn_ediff = ', rn_ediff |
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| 644 | WRITE(numout,*) ' Kolmogoroff dissipation coef. rn_ediss = ', rn_ediss |
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| 645 | WRITE(numout,*) ' tke surface input coef. rn_ebb = ', rn_ebb |
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| 646 | WRITE(numout,*) ' minimum value of tke rn_emin = ', rn_emin |
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| 647 | WRITE(numout,*) ' surface minimum value of tke rn_emin0 = ', rn_emin0 |
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| 648 | WRITE(numout,*) ' prandl number flag nn_pdl = ', nn_pdl |
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| 649 | WRITE(numout,*) ' background shear (>0) rn_bshear = ', rn_bshear |
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| 650 | WRITE(numout,*) ' mixing length type nn_mxl = ', nn_mxl |
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| 651 | WRITE(numout,*) ' surface mixing length = F(stress) or not ln_mxl0 = ', ln_mxl0 |
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| 652 | WRITE(numout,*) ' surface mixing length minimum value rn_mxl0 = ', rn_mxl0 |
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| 653 | IF( ln_mxl0 ) THEN |
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| 654 | WRITE(numout,*) ' type of scaling under sea-ice nn_mxlice = ', nn_mxlice |
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| 655 | IF( nn_mxlice == 1 ) & |
|---|
| 656 | WRITE(numout,*) ' ice thickness when scaling under sea-ice rn_mxlice = ', rn_mxlice |
|---|
| 657 | SELECT CASE( nn_mxlice ) ! Type of scaling under sea-ice |
|---|
| 658 | CASE( 0 ) ; WRITE(numout,*) ' ==>>> No scaling under sea-ice' |
|---|
| 659 | CASE( 1 ) ; WRITE(numout,*) ' ==>>> scaling with constant sea-ice thickness' |
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| 660 | CASE( 2 ) ; WRITE(numout,*) ' ==>>> scaling with mean sea-ice thickness' |
|---|
| 661 | CASE( 3 ) ; WRITE(numout,*) ' ==>>> scaling with max sea-ice thickness' |
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| 662 | CASE DEFAULT |
|---|
| 663 | CALL ctl_stop( 'zdf_tke_init: wrong value for nn_mxlice, should be 0,1,2,3 or 4') |
|---|
| 664 | END SELECT |
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| 665 | ENDIF |
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| 666 | WRITE(numout,*) ' Langmuir cells parametrization ln_lc = ', ln_lc |
|---|
| 667 | WRITE(numout,*) ' coef to compute vertical velocity of LC rn_lc = ', rn_lc |
|---|
| 668 | WRITE(numout,*) ' test param. to add tke induced by wind nn_etau = ', nn_etau |
|---|
| 669 | WRITE(numout,*) ' type of tke penetration profile nn_htau = ', nn_htau |
|---|
| 670 | WRITE(numout,*) ' fraction of TKE that penetrates rn_efr = ', rn_efr |
|---|
| 671 | WRITE(numout,*) ' langmuir & surface wave breaking under ice nn_eice = ', nn_eice |
|---|
| 672 | SELECT CASE( nn_eice ) |
|---|
| 673 | CASE( 0 ) ; WRITE(numout,*) ' ==>>> no impact of ice cover on langmuir & surface wave breaking' |
|---|
| 674 | CASE( 1 ) ; WRITE(numout,*) ' ==>>> weigthed by 1-TANH( fr_i(:,:) * 10 )' |
|---|
| 675 | CASE( 2 ) ; WRITE(numout,*) ' ==>>> weighted by 1-fr_i(:,:)' |
|---|
| 676 | CASE( 3 ) ; WRITE(numout,*) ' ==>>> weighted by 1-MIN( 1, 4 * fr_i(:,:) )' |
|---|
| 677 | CASE DEFAULT |
|---|
| 678 | CALL ctl_stop( 'zdf_tke_init: wrong value for nn_eice, should be 0,1,2, or 3') |
|---|
| 679 | END SELECT |
|---|
| 680 | IF( .NOT.ln_drg_OFF ) THEN |
|---|
| 681 | WRITE(numout,*) |
|---|
| 682 | WRITE(numout,*) ' Namelist namdrg_top/_bot: used values:' |
|---|
| 683 | WRITE(numout,*) ' top ocean cavity roughness (m) rn_z0(_top)= ', r_z0_top |
|---|
| 684 | WRITE(numout,*) ' Bottom seafloor roughness (m) rn_z0(_bot)= ', r_z0_bot |
|---|
| 685 | ENDIF |
|---|
| 686 | WRITE(numout,*) |
|---|
| 687 | WRITE(numout,*) ' ==>>> critical Richardson nb with your parameters ri_cri = ', ri_cri |
|---|
| 688 | WRITE(numout,*) |
|---|
| 689 | ENDIF |
|---|
| 690 | ! |
|---|
| 691 | IF( ln_zdfiwm ) THEN ! Internal wave-driven mixing |
|---|
| 692 | rn_emin = 1.e-10_wp ! specific values of rn_emin & rmxl_min are used |
|---|
| 693 | rmxl_min = 1.e-03_wp ! associated avt minimum = molecular salt diffusivity (10^-9 m2/s) |
|---|
| 694 | IF(lwp) WRITE(numout,*) ' ==>>> Internal wave-driven mixing case: force rn_emin = 1.e-10 and rmxl_min = 1.e-3' |
|---|
| 695 | ELSE ! standard case : associated avt minimum = molecular viscosity (10^-6 m2/s) |
|---|
| 696 | rmxl_min = 1.e-6_wp / ( rn_ediff * SQRT( rn_emin ) ) ! resulting minimum length to recover molecular viscosity |
|---|
| 697 | IF(lwp) WRITE(numout,*) ' ==>>> minimum mixing length with your parameters rmxl_min = ', rmxl_min |
|---|
| 698 | ENDIF |
|---|
| 699 | ! |
|---|
| 700 | ! ! allocate tke arrays |
|---|
| 701 | IF( zdf_tke_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_tke_init : unable to allocate arrays' ) |
|---|
| 702 | ! |
|---|
| 703 | ! !* Check of some namelist values |
|---|
| 704 | IF( nn_mxl < 0 .OR. nn_mxl > 3 ) CALL ctl_stop( 'bad flag: nn_mxl is 0, 1 or 2 ' ) |
|---|
| 705 | IF( nn_pdl < 0 .OR. nn_pdl > 1 ) CALL ctl_stop( 'bad flag: nn_pdl is 0 or 1 ' ) |
|---|
| 706 | IF( nn_htau < 0 .OR. nn_htau > 1 ) CALL ctl_stop( 'bad flag: nn_htau is 0, 1 or 2 ' ) |
|---|
| 707 | IF( nn_etau == 3 .AND. .NOT. ln_cpl ) CALL ctl_stop( 'nn_etau == 3 : HF taum only known in coupled mode' ) |
|---|
| 708 | ! |
|---|
| 709 | IF( ln_mxl0 ) THEN |
|---|
| 710 | IF(lwp) WRITE(numout,*) |
|---|
| 711 | IF(lwp) WRITE(numout,*) ' ==>>> use a surface mixing length = F(stress) : set rn_mxl0 = rmxl_min' |
|---|
| 712 | rn_mxl0 = rmxl_min |
|---|
| 713 | ENDIF |
|---|
| 714 | |
|---|
| 715 | IF( nn_etau == 2 ) CALL zdf_mxl( nit000, Kmm ) ! Initialization of nmln |
|---|
| 716 | |
|---|
| 717 | ! !* depth of penetration of surface tke |
|---|
| 718 | IF( nn_etau /= 0 ) THEN |
|---|
| 719 | SELECT CASE( nn_htau ) ! Choice of the depth of penetration |
|---|
| 720 | CASE( 0 ) ! constant depth penetration (here 10 meters) |
|---|
| 721 | htau(:,:) = 10._wp |
|---|
| 722 | CASE( 1 ) ! F(latitude) : 0.5m to 30m poleward of 40 degrees |
|---|
| 723 | htau(:,:) = MAX( 0.5_wp, MIN( 30._wp, 45._wp* ABS( SIN( rpi/180._wp * gphit(:,:) ) ) ) ) |
|---|
| 724 | END SELECT |
|---|
| 725 | ENDIF |
|---|
| 726 | ! !* read or initialize all required files |
|---|
| 727 | CALL tke_rst( nit000, 'READ' ) ! (en, avt_k, avm_k, dissl) |
|---|
| 728 | ! |
|---|
| 729 | IF( lwxios ) THEN |
|---|
| 730 | CALL iom_set_rstw_var_active('en') |
|---|
| 731 | CALL iom_set_rstw_var_active('avt_k') |
|---|
| 732 | CALL iom_set_rstw_var_active('avm_k') |
|---|
| 733 | CALL iom_set_rstw_var_active('dissl') |
|---|
| 734 | ENDIF |
|---|
| 735 | END SUBROUTINE zdf_tke_init |
|---|
| 736 | |
|---|
| 737 | |
|---|
| 738 | SUBROUTINE tke_rst( kt, cdrw ) |
|---|
| 739 | !!--------------------------------------------------------------------- |
|---|
| 740 | !! *** ROUTINE tke_rst *** |
|---|
| 741 | !! |
|---|
| 742 | !! ** Purpose : Read or write TKE file (en) in restart file |
|---|
| 743 | !! |
|---|
| 744 | !! ** Method : use of IOM library |
|---|
| 745 | !! if the restart does not contain TKE, en is either |
|---|
| 746 | !! set to rn_emin or recomputed |
|---|
| 747 | !!---------------------------------------------------------------------- |
|---|
| 748 | USE zdf_oce , ONLY : en, avt_k, avm_k ! ocean vertical physics |
|---|
| 749 | !! |
|---|
| 750 | INTEGER , INTENT(in) :: kt ! ocean time-step |
|---|
| 751 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
|---|
| 752 | ! |
|---|
| 753 | INTEGER :: jit, jk ! dummy loop indices |
|---|
| 754 | INTEGER :: id1, id2, id3, id4 ! local integers |
|---|
| 755 | !!---------------------------------------------------------------------- |
|---|
| 756 | ! |
|---|
| 757 | IF( TRIM(cdrw) == 'READ' ) THEN ! Read/initialise |
|---|
| 758 | ! ! --------------- |
|---|
| 759 | IF( ln_rstart ) THEN !* Read the restart file |
|---|
| 760 | id1 = iom_varid( numror, 'en' , ldstop = .FALSE. ) |
|---|
| 761 | id2 = iom_varid( numror, 'avt_k', ldstop = .FALSE. ) |
|---|
| 762 | id3 = iom_varid( numror, 'avm_k', ldstop = .FALSE. ) |
|---|
| 763 | id4 = iom_varid( numror, 'dissl', ldstop = .FALSE. ) |
|---|
| 764 | ! |
|---|
| 765 | IF( MIN( id1, id2, id3, id4 ) > 0 ) THEN ! fields exist |
|---|
| 766 | CALL iom_get( numror, jpdom_auto, 'en' , en , ldxios = lrxios ) |
|---|
| 767 | CALL iom_get( numror, jpdom_auto, 'avt_k', avt_k, ldxios = lrxios ) |
|---|
| 768 | CALL iom_get( numror, jpdom_auto, 'avm_k', avm_k, ldxios = lrxios ) |
|---|
| 769 | CALL iom_get( numror, jpdom_auto, 'dissl', dissl, ldxios = lrxios ) |
|---|
| 770 | ELSE ! start TKE from rest |
|---|
| 771 | IF(lwp) WRITE(numout,*) |
|---|
| 772 | IF(lwp) WRITE(numout,*) ' ==>>> previous run without TKE scheme, set en to background values' |
|---|
| 773 | en (:,:,:) = rn_emin * wmask(:,:,:) |
|---|
| 774 | dissl(:,:,:) = 1.e-12_wp |
|---|
| 775 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
|---|
| 776 | ENDIF |
|---|
| 777 | ELSE !* Start from rest |
|---|
| 778 | IF(lwp) WRITE(numout,*) |
|---|
| 779 | IF(lwp) WRITE(numout,*) ' ==>>> start from rest: set en to the background value' |
|---|
| 780 | en (:,:,:) = rn_emin * wmask(:,:,:) |
|---|
| 781 | dissl(:,:,:) = 1.e-12_wp |
|---|
| 782 | ! avt_k, avm_k already set to the background value in zdf_phy_init |
|---|
| 783 | ENDIF |
|---|
| 784 | ! |
|---|
| 785 | ELSEIF( TRIM(cdrw) == 'WRITE' ) THEN ! Create restart file |
|---|
| 786 | ! ! ------------------- |
|---|
| 787 | IF(lwp) WRITE(numout,*) '---- tke_rst ----' |
|---|
| 788 | IF( lwxios ) CALL iom_swap( cwxios_context ) |
|---|
| 789 | CALL iom_rstput( kt, nitrst, numrow, 'en' , en , ldxios = lwxios ) |
|---|
| 790 | CALL iom_rstput( kt, nitrst, numrow, 'avt_k', avt_k, ldxios = lwxios ) |
|---|
| 791 | CALL iom_rstput( kt, nitrst, numrow, 'avm_k', avm_k, ldxios = lwxios ) |
|---|
| 792 | CALL iom_rstput( kt, nitrst, numrow, 'dissl', dissl, ldxios = lwxios ) |
|---|
| 793 | IF( lwxios ) CALL iom_swap( cxios_context ) |
|---|
| 794 | ! |
|---|
| 795 | ENDIF |
|---|
| 796 | ! |
|---|
| 797 | END SUBROUTINE tke_rst |
|---|
| 798 | |
|---|
| 799 | !!====================================================================== |
|---|
| 800 | END MODULE zdftke |
|---|
